Convergence of minima in convergence spaces1
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 17 (5) , 553-572
- https://doi.org/10.1080/02331938608843171
Abstract
Sufficient and necessary conditions for the persistence and the adherence of minima in general convergence spaces are provided and specialized in the cases of topological and sequential convergences, as well as in the case of local compactifications. In terms of multifunctions, the inquired stability properties of minima amount to lower semicontinuity (persistence) and to graph-closedness (adherence).Keywords
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